Pith Number

pith:RJK3QNCH

pith:2015:RJK3QNCHLMI2DUZB5RZSGC4SSZ

not attested not anchored not stored refs pending

Some conjectures on continuous rational maps into spheres

Krzysztof Kurdyka, Wojciech Kucharz

arxiv:1512.05963 v1 · 2015-12-18 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJK3QNCHLMI2DUZB5RZSGC4SSZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:24:05.784296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a55b834475b11a1d321ec73230b929675541abe98376db763fde3b52fce4c7c

Aliases

arxiv: 1512.05963 · arxiv_version: 1512.05963v1 · doi: 10.48550/arxiv.1512.05963 · pith_short_12: RJK3QNCHLMI2 · pith_short_16: RJK3QNCHLMI2DUZB · pith_short_8: RJK3QNCH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RJK3QNCHLMI2DUZB5RZSGC4SSZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8a55b834475b11a1d321ec73230b929675541abe98376db763fde3b52fce4c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52812a90225b15dfc4d7a3a874ea8bf2f3583d526cf0a341b583a2f48a994848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-18T13:59:11Z",
    "title_canon_sha256": "f3744e8e8f6f8050539d153aca28eb3e339687ec004af081eac8c2f189c62d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05963",
    "kind": "arxiv",
    "version": 1
  }
}